EM-2509

Primes, HCF and LCM

E Math · Secondary 4 · Hard · Primes, HCF and LCM

A number

N

can be written as a product of its prime factors as

N = 2^x\times3^4\times5^y

.
The square root of

N

is 90.
(a) Find the values of

x

and

y

.
(b) Hence find the highest common factor (HCF) of

N

and 540.

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